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Finding the Fourth Proportional to 6,512.00, 9,770.29 and 3,227.40

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Solution

The fourth proportional to 6,512.00, 9,770.29 and 3,227.40 is: 4,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.00 : 9,770.29 = 3,227.40 : x
  2. Step 2: Convert to fraction form
    6,512.00/9,770.29 = 3,227.40/x
  3. Step 3: Cross multiply
    6,512.00x = 9,770.29 × 3,227.40
  4. Step 4: Simplify right side
    6,512.00x = 31,532,625.88
  5. Step 5: Solve for x
    x = 31,532,625.88/6,512.00
  6. Step 6: Final answer
    x = 4,842.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.